All categories

3 years ago

Triangle PQR has two known interior angles of 24°, and 100°.

Mathematics

2 answers:

Anna [14]3 years ago

7 0

Answer:

D. The triangles are similar.

Step-by-step explanation:

Two triangles are similar if all 3 angles of one triangle are congruent to all 3 angles of the other triangle.

In triangle PQR, the two known angles are 24° and 100°. Since the sum of the measures of the angles of a triangle is always 180°, this makes the missing angle

180-(24+100) = 180-124 = 56°

In triangle RST, the two known angles are 24° and 56°. This makes the missing angle

180-(24+56) = 180-80 = 100°

This means all 3 angles in PQR are congruent to all 3 angles in RST; this means the triangles are similar.

Tamiku [17]3 years ago

3 0

180-24=5
180-56=34
Both are equal
D

You might be interested in

Write the unit rate and the rate 15 points scored in 4 quarters

Trava [24]

You first divide both numbers by 4 to get one quarter which is the unit, and to get the rate, you divide 15 by 4 also. i got the unit rate is 3.75 points oer quarter.

3 0

3 years ago

A number n plus 8 is greater than 11? What is the inequality and the solution?

fomenos

Answer:

n+8 > 11

subtract 8 from 11

n>3

7 0

2 years ago

Read 2 more answers

Round 285.39154 to a specified place of the hundreths place

almond37 [142]

Rounding the number to the hundreds place, the answer would be 285.39.

Hope this helped!

Nate

5 0

2 years ago

The average monthly cell phone bill was reported to be $50.07 by the U.S. Wireless Industry. Random Sampling of a large cell pho

zalisa [80]

Answer:

The null and alternative hypotheses are:

$H_{0}:\mu= 50.07$

$H_{a}:\mu>50.07$

Under the null hypothesis, the test statistic is:

$t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }$

Where:

$\bar{x} = 52.86$ is the sample mean

$s=7.0132$ is the sample standard deviation

$n=10$ is the sample size

$\therefore t=\frac{52.86-50.07}{\frac{7.0132}{\sqrt{10}} }$

$=1.26$

Now, the right tailed t critical value at 0.05 significance level for df = n-1 = 10-1 = 9 is:

$t_{critical}=1.833$

Since the t statistic is less than the t critical value at 0.05 significance level, therefore,we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the average phone bill has increased.

4 0

2 years ago

WHAT IS THE MEAN DEVIATION MAD OF THE DATA SET? { 2, 5, 6, 12, 15}

Gelneren [198K]

Answer:

Step-by-step explanation:

Add them and then divide by the number of numbers given

3 0

3 years ago